Search a number
-
+
32536130616 = 23321141080973
BaseRepresentation
bin11110010011010011…
…011111010000111000
310002222111110200112200
4132103103133100320
51013113222134431
622540310110200
72231163355443
oct362323372070
9102874420480
1032536130616
1112886885550
12638034b360
1330b6934ac2
1418091c265a
15ca65deee6
hex7934df438

32536130616 has 48 divisors (see below), whose sum is σ = 96129479160. Its totient is φ = 9859433280.

The previous prime is 32536130603. The next prime is 32536130687. The reversal of 32536130616 is 61603163523.

32536130616 is a `hidden beast` number, since 3 + 2 + 5 + 3 + 6 + 1 + 30 + 616 = 666.

It is a super-2 number, since 2×325361306162 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20539695 + ... + 20541278.

Almost surely, 232536130616 is an apocalyptic number.

32536130616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

32536130616 is an abundant number, since it is smaller than the sum of its proper divisors (63593348544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32536130616 is a wasteful number, since it uses less digits than its factorization.

32536130616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41080996 (or 41080989 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 32536130616 in words is "thirty-two billion, five hundred thirty-six million, one hundred thirty thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 41080973 82161946 123242919 164323892 246485838 328647784 369728757 451890703 492971676 739457514 903781406 985943352 1355672109 1478915028 1807562812 2711344218 2957830056 3615125624 4067016327 5422688436 8134032654 10845376872 16268065308 32536130616